Foundations of Physics

, Volume 21, Issue 8, pp 983–991 | Cite as

Linear and nonlinear Schrödinger equations

  • G. Adomian
  • R. Rach


The Schrödinger equation for a point particle in a quartic potential and a nonlinear Schrödinger equation are solved by the decomposition method yielding convergent series for the solutions which converge quite rapidly in physical problems involving bounded inputs and analytic functions. Several examples are given to demonstrate use of the method.


Analytic Function Decomposition Method Physical Problem Point Particle Convergent Series 
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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • G. Adomian
    • 1
  • R. Rach
    • 1
  1. 1.Athens

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